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Finding the Fourth Proportional to 15,838.80, 23,758.20 and 13,333.20

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Solution

The fourth proportional to 15,838.80, 23,758.20 and 13,333.20 is: 19,999.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,838.80 : 23,758.20 = 13,333.20 : x
  2. Step 2: Convert to fraction form
    15,838.80/23,758.20 = 13,333.20/x
  3. Step 3: Cross multiply
    15,838.80x = 23,758.20 × 13,333.20
  4. Step 4: Simplify right side
    15,838.80x = 316,772,832.24
  5. Step 5: Solve for x
    x = 316,772,832.24/15,838.80
  6. Step 6: Final answer
    x = 19,999.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.